Publication detail
Conditional Stability of Weakly Delayed Planar Linear Discrete Systems
DIBLÍK, J. HALFAROVÁ, H. ŠAFAŘÍK, J.
Original Title
Conditional Stability of Weakly Delayed Planar Linear Discrete Systems
English Title
Conditional Stability of Weakly Delayed Planar Linear Discrete Systems
Type
conference paper
Language
en
Original Abstract
The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.
English abstract
The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.
Keywords
Conditional stability, conditional asymptotic stability, weakly delayed system, discrete system
RIV year
2015
Released
25.04.2015
Publisher
WSEAS Press
Location
Kuala Lumpur, Malaysia
ISBN
978-1-61804-302-3
Book
Recent Advances in Mathematical and Computational Methods
Edition
Mathematics and Computers in Science in Science and Engineering Series | 44
Pages from
111
Pages to
117
Pages count
7
URL
Documents
BibTex
@inproceedings{BUT123370,
author="Josef {Diblík} and Hana {Halfarová} and Jan {Šafařík}",
title="Conditional Stability of Weakly Delayed Planar Linear Discrete Systems",
annote="The paper deals with discrete planar systems
x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0
where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.",
address="WSEAS Press",
booktitle="Recent Advances in Mathematical and Computational Methods",
chapter="123370",
edition="Mathematics and Computers in Science in Science and Engineering Series | 44",
howpublished="print",
institution="WSEAS Press",
year="2015",
month="april",
pages="111--117",
publisher="WSEAS Press",
type="conference paper"
}